Minutes of long-distance telephone calls

Reference no: EM131834443

Suppose that the duration in minutes of long-distance telephone calls made from a certain city is found to be a random phenomenon, with a probability function specified by the distribution function F(), given by

716_minutes of long-distance telephone calls.png

(i) Sketch the distribution function.

(ii) Is the distribution function continuous? Discrete? Neither?

(iii) What is the probability that the duration in minutes of a long-distance telephone call will be (a) more than 6 minutes, (b) less than 4 minutes, (c) equal to 3 minutes, (d) between A and 7 minutes?

(iv) What is the conditional probability that the duration of a long distance telephone call will be (a) less than 9 minutes, given that it has lasted more than 5 minutes, (b) less than 9 minutes, given that it has lasted more than 15 minutes?

Reference no: EM131834443

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